pdf Probability B

This worksheet provides structured practice with theoretical probability using a marble bag scenario. Students analyze the composition of the bag and calculate probabilities for single and multi-step events, expressing answers in multiple forms.

Students apply the probability formula \(P(\text{event})=\frac{\text{number of desired outcomes}}{\text{total outcomes}}\) to determine probabilities of selecting red, blue, green, and combined outcomes such as green or blue. Several problems require students to express answers as fractions, decimals, and percentages, strengthening fluency across representations.

The worksheet also includes conditional probability questions involving two marble selections without replacement. Students must adjust denominators appropriately after the first draw and compute probabilities such as \(\frac{2}{7}\) or \(\frac{1}{7}\), reinforcing understanding of dependent events.

By combining single-event probability, compound probability without replacement, and percent conversion, this resource builds both conceptual understanding and procedural fluency.

Skills Assessed

• Calculating theoretical probability

• Applying \(P(\text{event})=\frac{\text{desired}}{\text{total}}\)

• Expressing probability as fractions, decimals, and percentages

• Calculating probability of combined events

• Determining probabilities without replacement

• Understanding dependent events

Classroom Use

This worksheet works well as guided practice during a probability unit, independent reinforcement after modeling single and compound events, or review before an assessment. It is especially effective for helping students connect fraction, decimal, and percent representations within probability contexts.

Details

• 2 pages

• Answer key included

ID# 0289